What is the Least Common Multiple of 91640 and 91648?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 91640 and 91648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91640 and 91648, than apply into the LCM equation.

GCF(91640,91648) = 8
LCM(91640,91648) = ( 91640 × 91648) / 8
LCM(91640,91648) = 8398622720 / 8
LCM(91640,91648) = 1049827840

Least Common Multiple (LCM) of 91640 and 91648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91640 and 91648. First we will calculate the prime factors of 91640 and 91648.

Prime Factorization of 91640

Prime Factorization of 91648

Now multiplying the highest exponent prime factors to calculate the LCM of 91640 and 91648.

LCM(91640,91648) = 2⁹ × 5¹ × 29¹ × 79¹ × 179¹
LCM(91640,91648) = 1049827840